| 05-XX | | Prev: 03 | Up: Top | Next: 06 | |
| Combinatorics | |
| {For finite fields, see 11Txx} |
05-00 |
General reference works (handbooks, dictionaries, bibliographies, etc.)
| 05-01 |
Instructional exposition (textbooks, tutorial papers, etc.)
| 05-02 |
Research exposition (monographs, survey articles)
| 05-03 |
Historical (must also be assigned at least one classification number from Section 01)
| 05-04 |
Explicit machine computation and programs (not the theory of computation or programming)
| 05-06 |
Proceedings, conferences, collections, etc.
| |
05Axx |
Enumerative combinatorics
| 05A05 |
Combinatorial choice problems (subsets, representatives, permutations)
| 05A10 |
Factorials, binomial coefficients, combinatorial functions [See also 11B65, 33Cxx]
[xref: 11B65]
| 05A15 |
Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] Asymptotic enumeration
| 05A17 |
Partitions of integers [See also 11P81, 11P82, 11P83]
[xref: 11P81]
| 05A18 |
Partitions of sets
| 05A19 |
Combinatorial identities
| 05A20 |
Combinatorial inequalities
| 05A30 |
$q$-calculus and related topics [See also 03Dxx]
[xref: 11B65]
| 05A40 |
Umbral calculus
| 05A99 |
None of the above, but in this section
| |
05Bxx |
Designs and configurations {For applications of design theory, see 94C30}
[xref: 20B25, 20N05, 51E20, 62Kxx, 94C30]
| 05B05 |
Block designs [See also 51E05, 62K10]
[xref: 51E05]
| 05B07 |
Triple systems
| 05B10 |
Difference sets (number-theoretic, group-theoretic, etc.) [See also 11B13]
[xref: 11B13]
| 05B15 |
Orthogonal arrays, Latin squares, Room squares
| 05B20 |
Matrices (incidence, Hadamard, etc.)
| 05B25 |
Finite geometries [See also 51D20, 51Exx]
[xref: 51D20]
| 05B30 |
Other designs, configurations [See also 51E30]
[xref: 51E30]
| 05B35 |
Matroids, geometric lattices [See also 52B40, 90C27]
[xref: 51D20, 51D25, 52B40]
| 05B40 |
Packing and covering [See also 11H31, 52C15, 52C17]
[xref: 11H31, 52C15, 52C17]
| 05B45 |
Tessellation and tiling problems [See also 52C20, 52C22]
[xref: 52C20, 52C22]
| 05B50 |
Polyominoes
| 05B99 |
None of the above, but in this section
| |
05Cxx |
Graph theory {For applications of graphs, see 68R10, 90C35, 94C15}
[xref: 52B05, 57M15, 68R10, 94C15]
| 05C05 |
Trees
| 05C07 |
Degree sequences
| 05C10 |
Topological graph theory, imbedding [See also 57M15, 57M25]
| 05C12 |
Distance in graphs
| 05C15 |
Coloring of graphs and hypergraphs
| 05C17 |
Perfect graphs
| 05C20 |
Directed graphs (digraphs), tournaments
| 05C22 |
Signed, gain and biased graphs
| 05C25 |
Graphs and groups [See also 20F65]
[xref: 20F65]
| 05C30 |
Enumeration of graphs and maps
| 05C35 |
Extremal problems [See also 90C35]
| 05C38 |
Paths and cycles [See also 90B10]
| 05C40 |
Connectivity
| 05C45 |
Eulerian and Hamiltonian graphs
| 05C50 |
Graphs and matrices
| 05C55 |
Generalized Ramsey theory
| 05C60 |
Isomorphism problems (reconstruction conjecture, etc.)
| 05C62 |
Graph representations (geometric and intersection representations, etc.)
| 05C65 |
Hypergraphs
| 05C69 |
Dominating sets, independent sets, cliques
| 05C70 |
Factorization, matching, covering and packing
| 05C75 |
Structural characterization of types of graphs
| 05C78 |
Graph labelling (graceful graphs, bandwidth, etc.)
| 05C80 |
Random graphs
| 05C83 |
Graph minors
| 05C85 |
Graph algorithms [See also 68R10, 68W05]
| 05C90 |
Applications
| 05C99 |
None of the above, but in this section
| |
05Dxx |
Extremal combinatorics
| 05D05 |
Extremal set theory
| 05D10 |
Ramsey theory
| 05D15 |
Transversal (matching) theory
| 05D40 |
Probabilistic methods
| 05D99 |
None of the above, but in this section
| |
05Exx |
Algebraic combinatorics
| 05E05 |
Symmetric functions
| 05E10 |
Tableaux, representations of the symmetric group [See also 20C30]
| 05E15 |
Combinatorial problems concerning the classical groups [See also 22E45, 33C80]
| 05E20 |
Group actions on designs, geometries and codes
| 05E25 |
Group actions on posets and homology groups of posets [See also 06A11]
[xref: 06A11]
| 05E30 |
Association schemes, strongly regular graphs
| 05E35 |
Orthogonal polynomials [See also 33C45, 33C50, 33D45]
| 05E99 |
None of the above, but in this section
| |